Dynamics of piecewise contractions of the interval - BV FAPESP
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Dynamics of piecewise contractions of the interval

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Author(s):
Nogueira, Arnaldo ; Pires, Benito
Total Authors: 2
Document type: Journal article
Source: Ergodic Theory and Dynamical Systems; v. 35, p. 18-pg., 2015-10-01.
Abstract

We study the long-term behavior of injective piecewise contractions of the interval. We prove that every injective piecewise contraction with n - 1 discontinuities has at most n periodic orbits and is topologically conjugate to a piecewise linear contraction. (AU)

FAPESP's process: 09/02380-0 - Flows on surfaces and exchange transformations
Grantee:Benito Frazao Pires
Support Opportunities: Research Grants - Young Investigators Grants
FAPESP's process: 13/12359-3 - Dynamical systems in dimensions 1 and 2
Grantee:Benito Frazao Pires
Support Opportunities: Regular Research Grants